What principle states that an object will float if the weight of the liquid it displaces is greater than its own weight?

The principle that states an object will float if the weight of the liquid it displaces is greater than its own weight is Archimedes' Principle. This principle, formulated by the ancient Greek mathematician Archimedes, describes the buoyant force experienced by an object submerged in a fluid. According to this principle, the upward buoyant force acting on the object is equal to the weight of the fluid that the object displaces. Consequently, if the displaced fluid weighs more than the object itself, the object will float; if it weighs less, the object will sink.

This fundamental understanding is crucial in various applications, including ship design, underwater exploration, and understanding the behavior of divers in water. In comparison, the other principles listed do not pertain to buoyancy: Bernoulli's Principle relates to fluid dynamics and the movement of air and fluids, Newton's Third Law discusses action and reaction forces, while Pascal's Law addresses pressure in fluids. Thus, Archimedes' Principle is the foundational concept that governs the buoyancy and floating behavior of objects.